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A rod of density ρ and length l=103m is suspended about one end and is surrounded by a liquid of density 2ρ as shown. The rod is released from rest in horizontal position. Find the angular speed (in rad/s) of rod, , when it becomes vertical for first time. Take g=10m/s2..___


Solution

Fbl2Wl2=(Ml23)ω22ρVgl2Vρg12=Vρg12=Vρl2ω26g=lω23ω=3gl=3rad/s

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